Find the simple harmonic equation

  • Thread starter Thread starter martinbandung
  • Start date Start date
  • Tags Tags
    Harmonic
AI Thread Summary
To find the simple harmonic equation, the amplitude can be determined using conservation of energy, resulting in A = sqrt(17)/20. The phase constant can be found by setting up equations based on the initial conditions of position and velocity. Given x = 0.05m, v = 2m/s, and w = 10 rad/s, these values allow for the calculation of both A and the phase constant. Clarification on the context of the spring and block in the provided image is necessary, as it affects the interpretation of the system's equilibrium or maximum compression. The discussion emphasizes the importance of clear problem statements for accurate solutions.
martinbandung
Messages
7
Reaction score
0

Homework Statement


view
view

https://drive.google.com/file/d/0Byoif068nH-zWTNHQTJid0gxRm8/view?usp=sharing[/B]
upload_2017-10-20_8-33-11.png


x=0.05m v=2m/s w=10 rad/s
Find the simple harmonic equation.

Homework Equations


x(t)=A sin (wt+psi)
conservation energy

The Attempt at a Solution


use conservation of energy to find amplitude and it is sqrt(17)/20

i have no idea about how to find the phase constant
 

Attachments

  • upload_2017-10-20_8-33-11.png
    upload_2017-10-20_8-33-11.png
    29.5 KB · Views: 386
Last edited by a moderator:
Physics news on Phys.org
martinbandung said:
x(t)=A sin (wt+psi)
Given this you can find A and phi just from the initial conditions. I suggest that you write them down. You will then have two equations and two unknowns which can be solved.
 
martinbandung said:
x=0.05m v=2m/s w=10 rad/s
Find the simple harmonic equation.
Is this the entirety of the information you are given? No block mass or spring constant?
 
gneill said:
Is this the entirety of the information you are given? No block mass or spring constant?
The information is sufficient. The mass and spring constant are only relevant for computing the angular frequency, which has already been given.
 
It's not clear from the problem statement (an image only!) whether the spring + block on the left is to represent the maximum compression position or perhaps the equilibrium position of the mass-spring system. Please provide a text description to accompany the figure.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...

Similar threads

Back
Top